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\begin{document}

\title{A GENERALIZED LOCAL FRACTIONAL LWR MODEL OF VEHICULAR TRAFFIC FLOW AND
ITS SOLUTION}



\author[1]{PRANAY GOSWAMI}%
\author[1]{BHAWNA POKHRIYAL}%
\affil[1]{Ambedkar University Delhi}%


\vspace{-1em}



  
  \date{June 04, 2024}


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\begin{abstract}
In this study, a generalized nonlinear local fractional
Lighthill-Whitham-Richards (LFLWR) model has been developed. The local
fractional variational iteration method (LFVIM) solves and analyzes the
proposed model. Numerous works have been described in past to address
linear LWR and linear LFLWR models. This research highlighted on
generalized nonlinear LFLWR model and LFVIM is employed to derive
non-differentiable solutions of the suggested model. The existence and
uniqueness of the resolution of LFLWR model have also been established.
Furthermore, several exemplary instances are discussed to demonstrate
the success of implementing LFVIM to the proposed model. The numerical
simulations for each of the cases have also been shown. Additionally,
the obtained solutions of the suggested model have been compared with
the solutions of the classical LWR model with non-differentiable
conditions in few examples. The study demonstrates that the employed
iterative scheme is quite efficient and can be utilized for obtaining
the non-differentiable solution to proposed generalized nonlinear LFLWR
model of traffic flow.%
\end{abstract}%



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